High School Mathematics10.8 Representing Inequation on Number Line

Example - I:
Represent x > 4 on number line and x is a natural number.

solution:

If we take x = 0, we get 0 > 4. But 0 > 4 is not true. Therefore 0 is not a solution for the given inequation.
If we take x = 1, we get 1 > 4. But 1 > 4 is not true. Therefore 1 is not a solution for the given inequation.
If we take x = 2, we get 2 > 4. But 2 > 4 is not true. Therefore 2 is not a solution for the given inequation.
If we take x = 3, we get 3 > 4. But 3 > 4 is not true. Therefore 3 is not a solution for the given inequation.
If we take x = 4, we get 4 > 4. But 4 > 4 is not true. Therefore 4 is not a solution for the given inequation.
If we take x = 5, we get 5 > 4. This is true. Therefore 5 is a solution for the given inequation.
If we take x = 6, we get 6 > 4. This is true. Therefore 6 is a solution for the given inequation.

Thus all the natural numbers greater than 4 are the solutions for the inequation x > 3.